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Modern programming languages use symbols to represent concepts and/or data and are, therefore, examples of symbolic languages. [1] Some programming languages (such as Lisp and Mathematica) make it easy to represent higher-level abstractions as expressions in the language, enabling symbolic programming. [2] [3]
SymPy is an open-source Python library for symbolic computation.It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]
The term symbolic is used to distinguish this problem from that of numerical integration, where the value of F is sought at a particular input or set of inputs, rather than a general formula for F.
The following example demonstrates two facts (describing what father is) and one rule (describing the meaning of sibling). These three sentences use symbols (father, zeus, hermes, perseus and sibling) and some abstract variables (X, Y and Z). The mother relationship is omitted for clarity.
MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.
Solutions to the path explosion problem generally use either heuristics for path-finding to increase code coverage, [2] reduce execution time by parallelizing independent paths, [3] or by merging similar paths. [4] One example of merging is veritesting, which "employs static symbolic execution to amplify the effect of dynamic symbolic execution ...
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
For example, symbol table entries representing initialized data are denoted by the character "d" and symbol table entries for functions have the symbol type "t" (because executable code is located in the text section of an object file). Additionally, the capitalization of the symbol type indicates the type of linkage: lower-case letters ...